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Finding the Fourth Proportional to 98,101.60, 146,860.80 and 64,859.20

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Solution

The fourth proportional to 98,101.60, 146,860.80 and 64,859.20 is: 97,096.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,101.60 : 146,860.80 = 64,859.20 : x
  2. Step 2: Convert to fraction form
    98,101.60/146,860.80 = 64,859.20/x
  3. Step 3: Cross multiply
    98,101.60x = 146,860.80 × 64,859.20
  4. Step 4: Simplify right side
    98,101.60x = 9,525,273,999.36
  5. Step 5: Solve for x
    x = 9,525,273,999.36/98,101.60
  6. Step 6: Final answer
    x = 97,096.01

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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.