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Finding the Fourth Proportional to 77,166, 106,502.72 and 45,334.89

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Solution

The fourth proportional to 77,166, 106,502.72 and 45,334.89 is: 62,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,166 : 106,502.72 = 45,334.89 : x
  2. Step 2: Convert to fraction form
    77,166/106,502.72 = 45,334.89/x
  3. Step 3: Cross multiply
    77,166x = 106,502.72 × 45,334.89
  4. Step 4: Simplify right side
    77,166x = 4,828,288,869.23
  5. Step 5: Solve for x
    x = 4,828,288,869.23/77,166
  6. Step 6: Final answer
    x = 62,570.16

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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.