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Finding the Fourth Proportional to 156,920.19, 216,547.29 and 85,302

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Solution

The fourth proportional to 156,920.19, 216,547.29 and 85,302 is: 117,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,920.19 : 216,547.29 = 85,302 : x
  2. Step 2: Convert to fraction form
    156,920.19/216,547.29 = 85,302/x
  3. Step 3: Cross multiply
    156,920.19x = 216,547.29 × 85,302
  4. Step 4: Simplify right side
    156,920.19x = 18,471,916,931.58
  5. Step 5: Solve for x
    x = 18,471,916,931.58/156,920.19
  6. Step 6: Final answer
    x = 117,715.36

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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.