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Finding the Fourth Proportional to 189,762, 284,670.80 and 77,449.04

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Solution

The fourth proportional to 189,762, 284,670.80 and 77,449.04 is: 116,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,762 : 284,670.80 = 77,449.04 : x
  2. Step 2: Convert to fraction form
    189,762/284,670.80 = 77,449.04/x
  3. Step 3: Cross multiply
    189,762x = 284,670.80 × 77,449.04
  4. Step 4: Simplify right side
    189,762x = 22,047,480,176.03
  5. Step 5: Solve for x
    x = 22,047,480,176.03/189,762
  6. Step 6: Final answer
    x = 116,184.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.