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Finding the Fourth Proportional to 177,129.80, 265,510.14 and 77,263.16

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Solution

The fourth proportional to 177,129.80, 265,510.14 and 77,263.16 is: 115,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,129.80 : 265,510.14 = 77,263.16 : x
  2. Step 2: Convert to fraction form
    177,129.80/265,510.14 = 77,263.16/x
  3. Step 3: Cross multiply
    177,129.80x = 265,510.14 × 77,263.16
  4. Step 4: Simplify right side
    177,129.80x = 20,514,152,428.44
  5. Step 5: Solve for x
    x = 20,514,152,428.44/177,129.80
  6. Step 6: Final answer
    x = 115,814.24

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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.