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Finding the Fourth Proportional to 152,755.84, 210,721.60 and 89,070.40

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Solution

The fourth proportional to 152,755.84, 210,721.60 and 89,070.40 is: 122,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,755.84 : 210,721.60 = 89,070.40 : x
  2. Step 2: Convert to fraction form
    152,755.84/210,721.60 = 89,070.40/x
  3. Step 3: Cross multiply
    152,755.84x = 210,721.60 × 89,070.40
  4. Step 4: Simplify right side
    152,755.84x = 18,769,057,200.64
  5. Step 5: Solve for x
    x = 18,769,057,200.64/152,755.84
  6. Step 6: Final answer
    x = 122,869.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.