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Finding the Fourth Proportional to 103,165.77, 142,430.88 and 67,415.61

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Solution

The fourth proportional to 103,165.77, 142,430.88 and 67,415.61 is: 93,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,165.77 : 142,430.88 = 67,415.61 : x
  2. Step 2: Convert to fraction form
    103,165.77/142,430.88 = 67,415.61/x
  3. Step 3: Cross multiply
    103,165.77x = 142,430.88 × 67,415.61
  4. Step 4: Simplify right side
    103,165.77x = 9,602,064,658.04
  5. Step 5: Solve for x
    x = 9,602,064,658.04/103,165.77
  6. Step 6: Final answer
    x = 93,074.13

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1.5x scale

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.