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Finding the Fourth Proportional to 147,608.70, 221,434.65 and 77,493.30

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Solution

The fourth proportional to 147,608.70, 221,434.65 and 77,493.30 is: 116,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,608.70 : 221,434.65 = 77,493.30 : x
  2. Step 2: Convert to fraction form
    147,608.70/221,434.65 = 77,493.30/x
  3. Step 3: Cross multiply
    147,608.70x = 221,434.65 × 77,493.30
  4. Step 4: Simplify right side
    147,608.70x = 17,159,701,762.85
  5. Step 5: Solve for x
    x = 17,159,701,762.85/147,608.70
  6. Step 6: Final answer
    x = 116,251.29

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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.