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Finding the Fourth Proportional to 70,907.40, 97,850.95 and 38,642.31

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Solution

The fourth proportional to 70,907.40, 97,850.95 and 38,642.31 is: 53,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,907.40 : 97,850.95 = 38,642.31 : x
  2. Step 2: Convert to fraction form
    70,907.40/97,850.95 = 38,642.31/x
  3. Step 3: Cross multiply
    70,907.40x = 97,850.95 × 38,642.31
  4. Step 4: Simplify right side
    70,907.40x = 3,781,186,647.09
  5. Step 5: Solve for x
    x = 3,781,186,647.09/70,907.40
  6. Step 6: Final answer
    x = 53,325.70

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1.5x scale

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.