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Finding the Fourth Proportional to 189,656.64, 284,419.08 and 105,545.16

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Solution

The fourth proportional to 189,656.64, 284,419.08 and 105,545.16 is: 158,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,656.64 : 284,419.08 = 105,545.16 : x
  2. Step 2: Convert to fraction form
    189,656.64/284,419.08 = 105,545.16/x
  3. Step 3: Cross multiply
    189,656.64x = 284,419.08 × 105,545.16
  4. Step 4: Simplify right side
    189,656.64x = 30,019,057,305.65
  5. Step 5: Solve for x
    x = 30,019,057,305.65/189,656.64
  6. Step 6: Final answer
    x = 158,281.08

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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.