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Finding the Fourth Proportional to 99,885,721.60, 149,838,561.60 and 27,103,657.60

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Solution

The fourth proportional to 99,885,721.60, 149,838,561.60 and 27,103,657.60 is: 40,658,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,885,721.60 : 149,838,561.60 = 27,103,657.60 : x
  2. Step 2: Convert to fraction form
    99,885,721.60/149,838,561.60 = 27,103,657.60/x
  3. Step 3: Cross multiply
    99,885,721.60x = 149,838,561.60 × 27,103,657.60
  4. Step 4: Simplify right side
    99,885,721.60x = 4,061,173,068,882,908
  5. Step 5: Solve for x
    x = 4,061,173,068,882,908/99,885,721.60
  6. Step 6: Final answer
    x = 40,658,194.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.