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Finding the Fourth Proportional to 109,993, 151,829.70 and 65,281

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Solution

The fourth proportional to 109,993, 151,829.70 and 65,281 is: 90,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,993 : 151,829.70 = 65,281 : x
  2. Step 2: Convert to fraction form
    109,993/151,829.70 = 65,281/x
  3. Step 3: Cross multiply
    109,993x = 151,829.70 × 65,281
  4. Step 4: Simplify right side
    109,993x = 9,911,594,645.70
  5. Step 5: Solve for x
    x = 9,911,594,645.70/109,993
  6. Step 6: Final answer
    x = 90,111.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.