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Finding the Fourth Proportional to 89,153.47, 133,848.98 and 51,740.40

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Solution

The fourth proportional to 89,153.47, 133,848.98 and 51,740.40 is: 77,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,153.47 : 133,848.98 = 51,740.40 : x
  2. Step 2: Convert to fraction form
    89,153.47/133,848.98 = 51,740.40/x
  3. Step 3: Cross multiply
    89,153.47x = 133,848.98 × 51,740.40
  4. Step 4: Simplify right side
    89,153.47x = 6,925,399,764.79
  5. Step 5: Solve for x
    x = 6,925,399,764.79/89,153.47
  6. Step 6: Final answer
    x = 77,679.53

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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.