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Finding the Fourth Proportional to 97,591.82, 145,681.34 and 85,782.02

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Solution

The fourth proportional to 97,591.82, 145,681.34 and 85,782.02 is: 128,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,591.82 : 145,681.34 = 85,782.02 : x
  2. Step 2: Convert to fraction form
    97,591.82/145,681.34 = 85,782.02/x
  3. Step 3: Cross multiply
    97,591.82x = 145,681.34 × 85,782.02
  4. Step 4: Simplify right side
    97,591.82x = 12,496,839,621.51
  5. Step 5: Solve for x
    x = 12,496,839,621.51/97,591.82
  6. Step 6: Final answer
    x = 128,052.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.