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Finding the Fourth Proportional to 123,539.94, 185,514.93 and 77,088.06

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Solution

The fourth proportional to 123,539.94, 185,514.93 and 77,088.06 is: 115,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,539.94 : 185,514.93 = 77,088.06 : x
  2. Step 2: Convert to fraction form
    123,539.94/185,514.93 = 77,088.06/x
  3. Step 3: Cross multiply
    123,539.94x = 185,514.93 × 77,088.06
  4. Step 4: Simplify right side
    123,539.94x = 14,300,986,054.74
  5. Step 5: Solve for x
    x = 14,300,986,054.74/123,539.94
  6. Step 6: Final answer
    x = 115,760.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.