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Finding the Fourth Proportional to 81,457.84, 112,413.18 and 45,655.84

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Solution

The fourth proportional to 81,457.84, 112,413.18 and 45,655.84 is: 63,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,457.84 : 112,413.18 = 45,655.84 : x
  2. Step 2: Convert to fraction form
    81,457.84/112,413.18 = 45,655.84/x
  3. Step 3: Cross multiply
    81,457.84x = 112,413.18 × 45,655.84
  4. Step 4: Simplify right side
    81,457.84x = 5,132,318,159.97
  5. Step 5: Solve for x
    x = 5,132,318,159.97/81,457.84
  6. Step 6: Final answer
    x = 63,005.82

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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.