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Finding the Fourth Proportional to 103,130.88, 142,315.20 and 58,416

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Solution

The fourth proportional to 103,130.88, 142,315.20 and 58,416 is: 80,611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,130.88 : 142,315.20 = 58,416 : x
  2. Step 2: Convert to fraction form
    103,130.88/142,315.20 = 58,416/x
  3. Step 3: Cross multiply
    103,130.88x = 142,315.20 × 58,416
  4. Step 4: Simplify right side
    103,130.88x = 8,313,484,723.20
  5. Step 5: Solve for x
    x = 8,313,484,723.20/103,130.88
  6. Step 6: Final answer
    x = 80,611.01

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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.