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Finding the Fourth Proportional to 137,505.27, 189,766.04 and 77,075.93

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Solution

The fourth proportional to 137,505.27, 189,766.04 and 77,075.93 is: 106,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,505.27 : 189,766.04 = 77,075.93 : x
  2. Step 2: Convert to fraction form
    137,505.27/189,766.04 = 77,075.93/x
  3. Step 3: Cross multiply
    137,505.27x = 189,766.04 × 77,075.93
  4. Step 4: Simplify right side
    137,505.27x = 14,626,392,681.21
  5. Step 5: Solve for x
    x = 14,626,392,681.21/137,505.27
  6. Step 6: Final answer
    x = 106,369.69

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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.