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Finding the Fourth Proportional to 61,434.78, 92,148.93 and 30,259.50

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Solution

The fourth proportional to 61,434.78, 92,148.93 and 30,259.50 is: 45,387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,434.78 : 92,148.93 = 30,259.50 : x
  2. Step 2: Convert to fraction form
    61,434.78/92,148.93 = 30,259.50/x
  3. Step 3: Cross multiply
    61,434.78x = 92,148.93 × 30,259.50
  4. Step 4: Simplify right side
    61,434.78x = 2,788,380,547.34
  5. Step 5: Solve for x
    x = 2,788,380,547.34/61,434.78
  6. Step 6: Final answer
    x = 45,387.65

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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.