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Finding the Fourth Proportional to 156,875.97, 216,488.75 and 85,256.01

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Solution

The fourth proportional to 156,875.97, 216,488.75 and 85,256.01 is: 117,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,875.97 : 216,488.75 = 85,256.01 : x
  2. Step 2: Convert to fraction form
    156,875.97/216,488.75 = 85,256.01/x
  3. Step 3: Cross multiply
    156,875.97x = 216,488.75 × 85,256.01
  4. Step 4: Simplify right side
    156,875.97x = 18,456,967,088.17
  5. Step 5: Solve for x
    x = 18,456,967,088.17/156,875.97
  6. Step 6: Final answer
    x = 117,653.24

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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.