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Finding the Fourth Proportional to 43,506, 65,259 and 15,810.48

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Solution

The fourth proportional to 43,506, 65,259 and 15,810.48 is: 23,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,506 : 65,259 = 15,810.48 : x
  2. Step 2: Convert to fraction form
    43,506/65,259 = 15,810.48/x
  3. Step 3: Cross multiply
    43,506x = 65,259 × 15,810.48
  4. Step 4: Simplify right side
    43,506x = 1,031,776,114.32
  5. Step 5: Solve for x
    x = 1,031,776,114.32/43,506
  6. Step 6: Final answer
    x = 23,715.72

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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.