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Finding the Fourth Proportional to 64,897, 89,557.86 and 35,089

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Solution

The fourth proportional to 64,897, 89,557.86 and 35,089 is: 48,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,897 : 89,557.86 = 35,089 : x
  2. Step 2: Convert to fraction form
    64,897/89,557.86 = 35,089/x
  3. Step 3: Cross multiply
    64,897x = 89,557.86 × 35,089
  4. Step 4: Simplify right side
    64,897x = 3,142,495,749.54
  5. Step 5: Solve for x
    x = 3,142,495,749.54/64,897
  6. Step 6: Final answer
    x = 48,422.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.