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Finding the Fourth Proportional to 102,656.80, 153,985.20 and 97,213.60

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Solution

The fourth proportional to 102,656.80, 153,985.20 and 97,213.60 is: 145,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,656.80 : 153,985.20 = 97,213.60 : x
  2. Step 2: Convert to fraction form
    102,656.80/153,985.20 = 97,213.60/x
  3. Step 3: Cross multiply
    102,656.80x = 153,985.20 × 97,213.60
  4. Step 4: Simplify right side
    102,656.80x = 14,969,455,638.72
  5. Step 5: Solve for x
    x = 14,969,455,638.72/102,656.80
  6. Step 6: Final answer
    x = 145,820.40

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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.