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Finding the Fourth Proportional to 70,710.13, 97,582.49 and 38,881.45

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Solution

The fourth proportional to 70,710.13, 97,582.49 and 38,881.45 is: 53,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,710.13 : 97,582.49 = 38,881.45 : x
  2. Step 2: Convert to fraction form
    70,710.13/97,582.49 = 38,881.45/x
  3. Step 3: Cross multiply
    70,710.13x = 97,582.49 × 38,881.45
  4. Step 4: Simplify right side
    70,710.13x = 3,794,148,705.81
  5. Step 5: Solve for x
    x = 3,794,148,705.81/70,710.13
  6. Step 6: Final answer
    x = 53,657.78

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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.