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Finding the Fourth Proportional to 137,693.98, 190,002.27 and 77,252.05

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Solution

The fourth proportional to 137,693.98, 190,002.27 and 77,252.05 is: 106,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,693.98 : 190,002.27 = 77,252.05 : x
  2. Step 2: Convert to fraction form
    137,693.98/190,002.27 = 77,252.05/x
  3. Step 3: Cross multiply
    137,693.98x = 190,002.27 × 77,252.05
  4. Step 4: Simplify right side
    137,693.98x = 14,678,064,862.15
  5. Step 5: Solve for x
    x = 14,678,064,862.15/137,693.98
  6. Step 6: Final answer
    x = 106,599.18

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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.