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Finding the Fourth Proportional to 189,862.80, 284,794.47 and 77,543.04

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Solution

The fourth proportional to 189,862.80, 284,794.47 and 77,543.04 is: 116,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,862.80 : 284,794.47 = 77,543.04 : x
  2. Step 2: Convert to fraction form
    189,862.80/284,794.47 = 77,543.04/x
  3. Step 3: Cross multiply
    189,862.80x = 284,794.47 × 77,543.04
  4. Step 4: Simplify right side
    189,862.80x = 22,083,828,978.99
  5. Step 5: Solve for x
    x = 22,083,828,978.99/189,862.80
  6. Step 6: Final answer
    x = 116,314.67

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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.