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Finding the Fourth Proportional to 147,135.60, 220,703.40 and 77,036.40

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Solution

The fourth proportional to 147,135.60, 220,703.40 and 77,036.40 is: 115,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,135.60 : 220,703.40 = 77,036.40 : x
  2. Step 2: Convert to fraction form
    147,135.60/220,703.40 = 77,036.40/x
  3. Step 3: Cross multiply
    147,135.60x = 220,703.40 × 77,036.40
  4. Step 4: Simplify right side
    147,135.60x = 17,002,195,403.76
  5. Step 5: Solve for x
    x = 17,002,195,403.76/147,135.60
  6. Step 6: Final answer
    x = 115,554.60

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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.