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Finding the Fourth Proportional to 105,536, 145,616.40 and 64,708.88

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Solution

The fourth proportional to 105,536, 145,616.40 and 64,708.88 is: 89,283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,536 : 145,616.40 = 64,708.88 : x
  2. Step 2: Convert to fraction form
    105,536/145,616.40 = 64,708.88/x
  3. Step 3: Cross multiply
    105,536x = 145,616.40 × 64,708.88
  4. Step 4: Simplify right side
    105,536x = 9,422,674,153.63
  5. Step 5: Solve for x
    x = 9,422,674,153.63/105,536
  6. Step 6: Final answer
    x = 89,283.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.