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Finding the Fourth Proportional to 105,782.40, 145,981.20 and 58,034.88

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Solution

The fourth proportional to 105,782.40, 145,981.20 and 58,034.88 is: 80,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,782.40 : 145,981.20 = 58,034.88 : x
  2. Step 2: Convert to fraction form
    105,782.40/145,981.20 = 58,034.88/x
  3. Step 3: Cross multiply
    105,782.40x = 145,981.20 × 58,034.88
  4. Step 4: Simplify right side
    105,782.40x = 8,472,001,424.26
  5. Step 5: Solve for x
    x = 8,472,001,424.26/105,782.40
  6. Step 6: Final answer
    x = 80,088.95

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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.