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Finding the Fourth Proportional to 78,312.60, 117,430.64 and 54,631.52

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Solution

The fourth proportional to 78,312.60, 117,430.64 and 54,631.52 is: 81,920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,312.60 : 117,430.64 = 54,631.52 : x
  2. Step 2: Convert to fraction form
    78,312.60/117,430.64 = 54,631.52/x
  3. Step 3: Cross multiply
    78,312.60x = 117,430.64 × 54,631.52
  4. Step 4: Simplify right side
    78,312.60x = 6,415,414,357.77
  5. Step 5: Solve for x
    x = 6,415,414,357.77/78,312.60
  6. Step 6: Final answer
    x = 81,920.59

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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.