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Finding the Fourth Proportional to 129,782.50, 179,100.12 and 70,166.50

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Solution

The fourth proportional to 129,782.50, 179,100.12 and 70,166.50 is: 96,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,782.50 : 179,100.12 = 70,166.50 : x
  2. Step 2: Convert to fraction form
    129,782.50/179,100.12 = 70,166.50/x
  3. Step 3: Cross multiply
    129,782.50x = 179,100.12 × 70,166.50
  4. Step 4: Simplify right side
    129,782.50x = 12,566,828,569.98
  5. Step 5: Solve for x
    x = 12,566,828,569.98/129,782.50
  6. Step 6: Final answer
    x = 96,829.92

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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.