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Finding the Fourth Proportional to 102,615.84, 141,526.16 and 86,200.48

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Solution

The fourth proportional to 102,615.84, 141,526.16 and 86,200.48 is: 118,886.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,615.84 : 141,526.16 = 86,200.48 : x
  2. Step 2: Convert to fraction form
    102,615.84/141,526.16 = 86,200.48/x
  3. Step 3: Cross multiply
    102,615.84x = 141,526.16 × 86,200.48
  4. Step 4: Simplify right side
    102,615.84x = 12,199,622,924.56
  5. Step 5: Solve for x
    x = 12,199,622,924.56/102,615.84
  6. Step 6: Final answer
    x = 118,886.35

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