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Finding the Fourth Proportional to 64,858, 97,161.12 and 42,603.86

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Solution

The fourth proportional to 64,858, 97,161.12 and 42,603.86 is: 63,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,858 : 97,161.12 = 42,603.86 : x
  2. Step 2: Convert to fraction form
    64,858/97,161.12 = 42,603.86/x
  3. Step 3: Cross multiply
    64,858x = 97,161.12 × 42,603.86
  4. Step 4: Simplify right side
    64,858x = 4,139,438,753.92
  5. Step 5: Solve for x
    x = 4,139,438,753.92/64,858
  6. Step 6: Final answer
    x = 63,823.10

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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.