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Finding the Fourth Proportional to 106,545, 147,035.63 and 58,149.57

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Solution

The fourth proportional to 106,545, 147,035.63 and 58,149.57 is: 80,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,545 : 147,035.63 = 58,149.57 : x
  2. Step 2: Convert to fraction form
    106,545/147,035.63 = 58,149.57/x
  3. Step 3: Cross multiply
    106,545x = 147,035.63 × 58,149.57
  4. Step 4: Simplify right side
    106,545x = 8,550,058,368.43
  5. Step 5: Solve for x
    x = 8,550,058,368.43/106,545
  6. Step 6: Final answer
    x = 80,248.33

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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.