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Finding the Fourth Proportional to 61,412.80, 92,216.40 and 46,638.40

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Solution

The fourth proportional to 61,412.80, 92,216.40 and 46,638.40 is: 70,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,412.80 : 92,216.40 = 46,638.40 : x
  2. Step 2: Convert to fraction form
    61,412.80/92,216.40 = 46,638.40/x
  3. Step 3: Cross multiply
    61,412.80x = 92,216.40 × 46,638.40
  4. Step 4: Simplify right side
    61,412.80x = 4,300,825,349.76
  5. Step 5: Solve for x
    x = 4,300,825,349.76/61,412.80
  6. Step 6: Final answer
    x = 70,031.42

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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.