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Finding the Fourth Proportional to 97,290, 145,935 and 23,418

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Solution

The fourth proportional to 97,290, 145,935 and 23,418 is: 35,127

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,290 : 145,935 = 23,418 : x
  2. Step 2: Convert to fraction form
    97,290/145,935 = 23,418/x
  3. Step 3: Cross multiply
    97,290x = 145,935 × 23,418
  4. Step 4: Simplify right side
    97,290x = 3,417,505,830
  5. Step 5: Solve for x
    x = 3,417,505,830/97,290
  6. Step 6: Final answer
    x = 35,127

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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.