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Finding the Fourth Proportional to 97,075.32, 145,338.90 and 65,422.68

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Solution

The fourth proportional to 97,075.32, 145,338.90 and 65,422.68 is: 97,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,075.32 : 145,338.90 = 65,422.68 : x
  2. Step 2: Convert to fraction form
    97,075.32/145,338.90 = 65,422.68/x
  3. Step 3: Cross multiply
    97,075.32x = 145,338.90 × 65,422.68
  4. Step 4: Simplify right side
    97,075.32x = 9,508,460,346.25
  5. Step 5: Solve for x
    x = 9,508,460,346.25/97,075.32
  6. Step 6: Final answer
    x = 97,949.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.