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Finding the Fourth Proportional to 97,881.20, 146,821.80 and 78,854.30

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Solution

The fourth proportional to 97,881.20, 146,821.80 and 78,854.30 is: 118,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,881.20 : 146,821.80 = 78,854.30 : x
  2. Step 2: Convert to fraction form
    97,881.20/146,821.80 = 78,854.30/x
  3. Step 3: Cross multiply
    97,881.20x = 146,821.80 × 78,854.30
  4. Step 4: Simplify right side
    97,881.20x = 11,577,530,263.74
  5. Step 5: Solve for x
    x = 11,577,530,263.74/97,881.20
  6. Step 6: Final answer
    x = 118,281.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.