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Finding the Fourth Proportional to 72,767.71, 100,404.28 and 42,547.16

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Solution

The fourth proportional to 72,767.71, 100,404.28 and 42,547.16 is: 58,706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,767.71 : 100,404.28 = 42,547.16 : x
  2. Step 2: Convert to fraction form
    72,767.71/100,404.28 = 42,547.16/x
  3. Step 3: Cross multiply
    72,767.71x = 100,404.28 × 42,547.16
  4. Step 4: Simplify right side
    72,767.71x = 4,271,916,965.84
  5. Step 5: Solve for x
    x = 4,271,916,965.84/72,767.71
  6. Step 6: Final answer
    x = 58,706.22

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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.