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Finding the Fourth Proportional to 261,642, 392,521.50 and 95,430

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Solution

The fourth proportional to 261,642, 392,521.50 and 95,430 is: 143,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,642 : 392,521.50 = 95,430 : x
  2. Step 2: Convert to fraction form
    261,642/392,521.50 = 95,430/x
  3. Step 3: Cross multiply
    261,642x = 392,521.50 × 95,430
  4. Step 4: Simplify right side
    261,642x = 37,458,326,745
  5. Step 5: Solve for x
    x = 37,458,326,745/261,642
  6. Step 6: Final answer
    x = 143,166.34

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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.