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Finding the Fourth Proportional to 105,502.79, 145,580.96 and 84,047.18

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Solution

The fourth proportional to 105,502.79, 145,580.96 and 84,047.18 is: 115,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,502.79 : 145,580.96 = 84,047.18 : x
  2. Step 2: Convert to fraction form
    105,502.79/145,580.96 = 84,047.18/x
  3. Step 3: Cross multiply
    105,502.79x = 145,580.96 × 84,047.18
  4. Step 4: Simplify right side
    105,502.79x = 12,235,668,631.91
  5. Step 5: Solve for x
    x = 12,235,668,631.91/105,502.79
  6. Step 6: Final answer
    x = 115,974.83

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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.