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Finding the Fourth Proportional to 157,389.74, 217,043.54 and 99,929.31

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Solution

The fourth proportional to 157,389.74, 217,043.54 and 99,929.31 is: 137,804.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,389.74 : 217,043.54 = 99,929.31 : x
  2. Step 2: Convert to fraction form
    157,389.74/217,043.54 = 99,929.31/x
  3. Step 3: Cross multiply
    157,389.74x = 217,043.54 × 99,929.31
  4. Step 4: Simplify right side
    157,389.74x = 21,689,009,607.29
  5. Step 5: Solve for x
    x = 21,689,009,607.29/157,389.74
  6. Step 6: Final answer
    x = 137,804.47

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1.5x scale

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.