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Finding the Fourth Proportional to 77,169, 106,506.87 and 45,337.89

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Solution

The fourth proportional to 77,169, 106,506.87 and 45,337.89 is: 62,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,169 : 106,506.87 = 45,337.89 : x
  2. Step 2: Convert to fraction form
    77,169/106,506.87 = 45,337.89/x
  3. Step 3: Cross multiply
    77,169x = 106,506.87 × 45,337.89
  4. Step 4: Simplify right side
    77,169x = 4,828,796,756.30
  5. Step 5: Solve for x
    x = 4,828,796,756.30/77,169
  6. Step 6: Final answer
    x = 62,574.31

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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.