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Finding the Fourth Proportional to 145,842, 201,262.10 and 78,774

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Solution

The fourth proportional to 145,842, 201,262.10 and 78,774 is: 108,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,842 : 201,262.10 = 78,774 : x
  2. Step 2: Convert to fraction form
    145,842/201,262.10 = 78,774/x
  3. Step 3: Cross multiply
    145,842x = 201,262.10 × 78,774
  4. Step 4: Simplify right side
    145,842x = 15,854,220,665.40
  5. Step 5: Solve for x
    x = 15,854,220,665.40/145,842
  6. Step 6: Final answer
    x = 108,708.20

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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.