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Finding the Fourth Proportional to 102,022.70, 153,034.05 and 42,838.70

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Solution

The fourth proportional to 102,022.70, 153,034.05 and 42,838.70 is: 64,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,022.70 : 153,034.05 = 42,838.70 : x
  2. Step 2: Convert to fraction form
    102,022.70/153,034.05 = 42,838.70/x
  3. Step 3: Cross multiply
    102,022.70x = 153,034.05 × 42,838.70
  4. Step 4: Simplify right side
    102,022.70x = 6,555,779,757.74
  5. Step 5: Solve for x
    x = 6,555,779,757.74/102,022.70
  6. Step 6: Final answer
    x = 64,258.05

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1.5x scale

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.