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Finding the Fourth Proportional to 105,083.01, 145,036.14 and 64,254.12

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Solution

The fourth proportional to 105,083.01, 145,036.14 and 64,254.12 is: 88,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,083.01 : 145,036.14 = 64,254.12 : x
  2. Step 2: Convert to fraction form
    105,083.01/145,036.14 = 64,254.12/x
  3. Step 3: Cross multiply
    105,083.01x = 145,036.14 × 64,254.12
  4. Step 4: Simplify right side
    105,083.01x = 9,319,169,543.90
  5. Step 5: Solve for x
    x = 9,319,169,543.90/105,083.01
  6. Step 6: Final answer
    x = 88,683.88

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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.