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Finding the Fourth Proportional to 261,805, 392,707.50 and 64,813

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Solution

The fourth proportional to 261,805, 392,707.50 and 64,813 is: 97,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,805 : 392,707.50 = 64,813 : x
  2. Step 2: Convert to fraction form
    261,805/392,707.50 = 64,813/x
  3. Step 3: Cross multiply
    261,805x = 392,707.50 × 64,813
  4. Step 4: Simplify right side
    261,805x = 25,452,551,197.50
  5. Step 5: Solve for x
    x = 25,452,551,197.50/261,805
  6. Step 6: Final answer
    x = 97,219.50

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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.