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Finding the Fourth Proportional to 101,827.68, 152,712 and 42,661.68

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Solution

The fourth proportional to 101,827.68, 152,712 and 42,661.68 is: 63,980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,827.68 : 152,712 = 42,661.68 : x
  2. Step 2: Convert to fraction form
    101,827.68/152,712 = 42,661.68/x
  3. Step 3: Cross multiply
    101,827.68x = 152,712 × 42,661.68
  4. Step 4: Simplify right side
    101,827.68x = 6,514,950,476.16
  5. Step 5: Solve for x
    x = 6,514,950,476.16/101,827.68
  6. Step 6: Final answer
    x = 63,980.15

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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.