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Finding the Fourth Proportional to 97,099.90, 145,674.15 and 77,184.70

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Solution

The fourth proportional to 97,099.90, 145,674.15 and 77,184.70 is: 115,796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,099.90 : 145,674.15 = 77,184.70 : x
  2. Step 2: Convert to fraction form
    97,099.90/145,674.15 = 77,184.70/x
  3. Step 3: Cross multiply
    97,099.90x = 145,674.15 × 77,184.70
  4. Step 4: Simplify right side
    97,099.90x = 11,243,815,565.51
  5. Step 5: Solve for x
    x = 11,243,815,565.51/97,099.90
  6. Step 6: Final answer
    x = 115,796.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.