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Finding the Fourth Proportional to 157,043, 216,685.10 and 89,044.62

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Solution

The fourth proportional to 157,043, 216,685.10 and 89,044.62 is: 122,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,043 : 216,685.10 = 89,044.62 : x
  2. Step 2: Convert to fraction form
    157,043/216,685.10 = 89,044.62/x
  3. Step 3: Cross multiply
    157,043x = 216,685.10 × 89,044.62
  4. Step 4: Simplify right side
    157,043x = 19,294,642,389.16
  5. Step 5: Solve for x
    x = 19,294,642,389.16/157,043
  6. Step 6: Final answer
    x = 122,862.16

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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.