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Finding the Fourth Proportional to 70,215.79, 96,897.16 and 38,384.59

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Solution

The fourth proportional to 70,215.79, 96,897.16 and 38,384.59 is: 52,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,215.79 : 96,897.16 = 38,384.59 : x
  2. Step 2: Convert to fraction form
    70,215.79/96,897.16 = 38,384.59/x
  3. Step 3: Cross multiply
    70,215.79x = 96,897.16 × 38,384.59
  4. Step 4: Simplify right side
    70,215.79x = 3,719,357,758.76
  5. Step 5: Solve for x
    x = 3,719,357,758.76/70,215.79
  6. Step 6: Final answer
    x = 52,970.39

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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.