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Finding the Fourth Proportional to 105,486.76, 145,506.18 and 65,212.84

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Solution

The fourth proportional to 105,486.76, 145,506.18 and 65,212.84 is: 89,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,486.76 : 145,506.18 = 65,212.84 : x
  2. Step 2: Convert to fraction form
    105,486.76/145,506.18 = 65,212.84/x
  3. Step 3: Cross multiply
    105,486.76x = 145,506.18 × 65,212.84
  4. Step 4: Simplify right side
    105,486.76x = 9,488,871,235.35
  5. Step 5: Solve for x
    x = 9,488,871,235.35/105,486.76
  6. Step 6: Final answer
    x = 89,953.20

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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.