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Finding the Fourth Proportional to 98,980.30, 148,503.03 and 65,830.78

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Solution

The fourth proportional to 98,980.30, 148,503.03 and 65,830.78 is: 98,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,980.30 : 148,503.03 = 65,830.78 : x
  2. Step 2: Convert to fraction form
    98,980.30/148,503.03 = 65,830.78/x
  3. Step 3: Cross multiply
    98,980.30x = 148,503.03 × 65,830.78
  4. Step 4: Simplify right side
    98,980.30x = 9,776,070,297.26
  5. Step 5: Solve for x
    x = 9,776,070,297.26/98,980.30
  6. Step 6: Final answer
    x = 98,767.84

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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.