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Finding the Fourth Proportional to 106,543.30, 147,024.74 and 61,189.30

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Solution

The fourth proportional to 106,543.30, 147,024.74 and 61,189.30 is: 84,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,543.30 : 147,024.74 = 61,189.30 : x
  2. Step 2: Convert to fraction form
    106,543.30/147,024.74 = 61,189.30/x
  3. Step 3: Cross multiply
    106,543.30x = 147,024.74 × 61,189.30
  4. Step 4: Simplify right side
    106,543.30x = 8,996,340,923.28
  5. Step 5: Solve for x
    x = 8,996,340,923.28/106,543.30
  6. Step 6: Final answer
    x = 84,438.35

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1.5x scale

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.