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Finding the Fourth Proportional to 70,707, 97,577.94 and 38,878.20

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Solution

The fourth proportional to 70,707, 97,577.94 and 38,878.20 is: 53,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,707 : 97,577.94 = 38,878.20 : x
  2. Step 2: Convert to fraction form
    70,707/97,577.94 = 38,878.20/x
  3. Step 3: Cross multiply
    70,707x = 97,577.94 × 38,878.20
  4. Step 4: Simplify right side
    70,707x = 3,793,654,666.91
  5. Step 5: Solve for x
    x = 3,793,654,666.91/70,707
  6. Step 6: Final answer
    x = 53,653.17

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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.