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Finding the Fourth Proportional to 65,026.16, 97,542.64 and 20,656.40

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Solution

The fourth proportional to 65,026.16, 97,542.64 and 20,656.40 is: 30,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,026.16 : 97,542.64 = 20,656.40 : x
  2. Step 2: Convert to fraction form
    65,026.16/97,542.64 = 20,656.40/x
  3. Step 3: Cross multiply
    65,026.16x = 97,542.64 × 20,656.40
  4. Step 4: Simplify right side
    65,026.16x = 2,014,879,788.90
  5. Step 5: Solve for x
    x = 2,014,879,788.90/65,026.16
  6. Step 6: Final answer
    x = 30,985.68

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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.