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Finding the Fourth Proportional to 97,681.40, 146,522.10 and 77,636.60

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Solution

The fourth proportional to 97,681.40, 146,522.10 and 77,636.60 is: 116,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,681.40 : 146,522.10 = 77,636.60 : x
  2. Step 2: Convert to fraction form
    97,681.40/146,522.10 = 77,636.60/x
  3. Step 3: Cross multiply
    97,681.40x = 146,522.10 × 77,636.60
  4. Step 4: Simplify right side
    97,681.40x = 11,375,477,668.86
  5. Step 5: Solve for x
    x = 11,375,477,668.86/97,681.40
  6. Step 6: Final answer
    x = 116,454.90

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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.