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Finding the Fourth Proportional to 70,545.80, 97,356 and 38,715.84

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Solution

The fourth proportional to 70,545.80, 97,356 and 38,715.84 is: 53,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,545.80 : 97,356 = 38,715.84 : x
  2. Step 2: Convert to fraction form
    70,545.80/97,356 = 38,715.84/x
  3. Step 3: Cross multiply
    70,545.80x = 97,356 × 38,715.84
  4. Step 4: Simplify right side
    70,545.80x = 3,769,219,319.04
  5. Step 5: Solve for x
    x = 3,769,219,319.04/70,545.80
  6. Step 6: Final answer
    x = 53,429.39

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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.