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Finding the Fourth Proportional to 65,404, 98,106.94 and 18,656.90

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Solution

The fourth proportional to 65,404, 98,106.94 and 18,656.90 is: 27,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,404 : 98,106.94 = 18,656.90 : x
  2. Step 2: Convert to fraction form
    65,404/98,106.94 = 18,656.90/x
  3. Step 3: Cross multiply
    65,404x = 98,106.94 × 18,656.90
  4. Step 4: Simplify right side
    65,404x = 1,830,371,368.89
  5. Step 5: Solve for x
    x = 1,830,371,368.89/65,404
  6. Step 6: Final answer
    x = 27,985.62

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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.