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Finding the Fourth Proportional to 86,152.54, 129,140.64 and 29,946.52

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Solution

The fourth proportional to 86,152.54, 129,140.64 and 29,946.52 is: 44,889.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,152.54 : 129,140.64 = 29,946.52 : x
  2. Step 2: Convert to fraction form
    86,152.54/129,140.64 = 29,946.52/x
  3. Step 3: Cross multiply
    86,152.54x = 129,140.64 × 29,946.52
  4. Step 4: Simplify right side
    86,152.54x = 3,867,313,143.71
  5. Step 5: Solve for x
    x = 3,867,313,143.71/86,152.54
  6. Step 6: Final answer
    x = 44,889.14

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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.