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Finding the Fourth Proportional to 70,434.86, 97,203.12 and 42,135.08

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Solution

The fourth proportional to 70,434.86, 97,203.12 and 42,135.08 is: 58,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,434.86 : 97,203.12 = 42,135.08 : x
  2. Step 2: Convert to fraction form
    70,434.86/97,203.12 = 42,135.08/x
  3. Step 3: Cross multiply
    70,434.86x = 97,203.12 × 42,135.08
  4. Step 4: Simplify right side
    70,434.86x = 4,095,661,237.45
  5. Step 5: Solve for x
    x = 4,095,661,237.45/70,434.86
  6. Step 6: Final answer
    x = 58,148.21

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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.