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Finding the Fourth Proportional to 64,985.40, 97,262.10 and 47,165.40

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Solution

The fourth proportional to 64,985.40, 97,262.10 and 47,165.40 is: 70,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,985.40 : 97,262.10 = 47,165.40 : x
  2. Step 2: Convert to fraction form
    64,985.40/97,262.10 = 47,165.40/x
  3. Step 3: Cross multiply
    64,985.40x = 97,262.10 × 47,165.40
  4. Step 4: Simplify right side
    64,985.40x = 4,587,405,851.34
  5. Step 5: Solve for x
    x = 4,587,405,851.34/64,985.40
  6. Step 6: Final answer
    x = 70,591.33

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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.