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Finding the Fourth Proportional to 64,878, 89,531.76 and 35,070

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Solution

The fourth proportional to 64,878, 89,531.76 and 35,070 is: 48,396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,878 : 89,531.76 = 35,070 : x
  2. Step 2: Convert to fraction form
    64,878/89,531.76 = 35,070/x
  3. Step 3: Cross multiply
    64,878x = 89,531.76 × 35,070
  4. Step 4: Simplify right side
    64,878x = 3,139,878,823.20
  5. Step 5: Solve for x
    x = 3,139,878,823.20/64,878
  6. Step 6: Final answer
    x = 48,396.66

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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.