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Finding the Fourth Proportional to 129,224.40, 178,303.52 and 75,499

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Solution

The fourth proportional to 129,224.40, 178,303.52 and 75,499 is: 104,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,224.40 : 178,303.52 = 75,499 : x
  2. Step 2: Convert to fraction form
    129,224.40/178,303.52 = 75,499/x
  3. Step 3: Cross multiply
    129,224.40x = 178,303.52 × 75,499
  4. Step 4: Simplify right side
    129,224.40x = 13,461,737,456.48
  5. Step 5: Solve for x
    x = 13,461,737,456.48/129,224.40
  6. Step 6: Final answer
    x = 104,173.34

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1.5x scale

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.