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Finding the Fourth Proportional to 70,400.63, 97,152.87 and 42,113.00

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Solution

The fourth proportional to 70,400.63, 97,152.87 and 42,113.00 is: 58,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,400.63 : 97,152.87 = 42,113.00 : x
  2. Step 2: Convert to fraction form
    70,400.63/97,152.87 = 42,113.00/x
  3. Step 3: Cross multiply
    70,400.63x = 97,152.87 × 42,113.00
  4. Step 4: Simplify right side
    70,400.63x = 4,091,398,328.55
  5. Step 5: Solve for x
    x = 4,091,398,328.55/70,400.63
  6. Step 6: Final answer
    x = 58,115.94

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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.