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Finding the Fourth Proportional to 72,547.85, 100,116.45 and 40,282.92

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Solution

The fourth proportional to 72,547.85, 100,116.45 and 40,282.92 is: 55,590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,547.85 : 100,116.45 = 40,282.92 : x
  2. Step 2: Convert to fraction form
    72,547.85/100,116.45 = 40,282.92/x
  3. Step 3: Cross multiply
    72,547.85x = 100,116.45 × 40,282.92
  4. Step 4: Simplify right side
    72,547.85x = 4,032,982,946.03
  5. Step 5: Solve for x
    x = 4,032,982,946.03/72,547.85
  6. Step 6: Final answer
    x = 55,590.66

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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.