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Finding the Fourth Proportional to 134,521.75, 185,640.02 and 77,965.93

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Solution

The fourth proportional to 134,521.75, 185,640.02 and 77,965.93 is: 107,592.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,521.75 : 185,640.02 = 77,965.93 : x
  2. Step 2: Convert to fraction form
    134,521.75/185,640.02 = 77,965.93/x
  3. Step 3: Cross multiply
    134,521.75x = 185,640.02 × 77,965.93
  4. Step 4: Simplify right side
    134,521.75x = 14,473,596,804.52
  5. Step 5: Solve for x
    x = 14,473,596,804.52/134,521.75
  6. Step 6: Final answer
    x = 107,592.99

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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.