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Finding the Fourth Proportional to 107,019.84, 147,685.88 and 61,697.90

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Solution

The fourth proportional to 107,019.84, 147,685.88 and 61,697.90 is: 85,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,019.84 : 147,685.88 = 61,697.90 : x
  2. Step 2: Convert to fraction form
    107,019.84/147,685.88 = 61,697.90/x
  3. Step 3: Cross multiply
    107,019.84x = 147,685.88 × 61,697.90
  4. Step 4: Simplify right side
    107,019.84x = 9,111,908,655.65
  5. Step 5: Solve for x
    x = 9,111,908,655.65/107,019.84
  6. Step 6: Final answer
    x = 85,142.24

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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.