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Finding the Fourth Proportional to 145,841.70, 218,762.55 and 82,856.10

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Solution

The fourth proportional to 145,841.70, 218,762.55 and 82,856.10 is: 124,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,841.70 : 218,762.55 = 82,856.10 : x
  2. Step 2: Convert to fraction form
    145,841.70/218,762.55 = 82,856.10/x
  3. Step 3: Cross multiply
    145,841.70x = 218,762.55 × 82,856.10
  4. Step 4: Simplify right side
    145,841.70x = 18,125,811,719.06
  5. Step 5: Solve for x
    x = 18,125,811,719.06/145,841.70
  6. Step 6: Final answer
    x = 124,284.15

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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.