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Finding the Fourth Proportional to 78,230.04, 107,929.16 and 51,387

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Solution

The fourth proportional to 78,230.04, 107,929.16 and 51,387 is: 70,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,230.04 : 107,929.16 = 51,387 : x
  2. Step 2: Convert to fraction form
    78,230.04/107,929.16 = 51,387/x
  3. Step 3: Cross multiply
    78,230.04x = 107,929.16 × 51,387
  4. Step 4: Simplify right side
    78,230.04x = 5,546,155,744.92
  5. Step 5: Solve for x
    x = 5,546,155,744.92/78,230.04
  6. Step 6: Final answer
    x = 70,895.47

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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.