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Finding the Fourth Proportional to 78,362.90, 117,544.35 and 31,582.97

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Solution

The fourth proportional to 78,362.90, 117,544.35 and 31,582.97 is: 47,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,362.90 : 117,544.35 = 31,582.97 : x
  2. Step 2: Convert to fraction form
    78,362.90/117,544.35 = 31,582.97/x
  3. Step 3: Cross multiply
    78,362.90x = 117,544.35 × 31,582.97
  4. Step 4: Simplify right side
    78,362.90x = 3,712,399,473.57
  5. Step 5: Solve for x
    x = 3,712,399,473.57/78,362.90
  6. Step 6: Final answer
    x = 47,374.45

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1.5x scale

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.