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Finding the Fourth Proportional to 102,881.76, 141,913.26 and 70,601.64

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Solution

The fourth proportional to 102,881.76, 141,913.26 and 70,601.64 is: 97,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,881.76 : 141,913.26 = 70,601.64 : x
  2. Step 2: Convert to fraction form
    102,881.76/141,913.26 = 70,601.64/x
  3. Step 3: Cross multiply
    102,881.76x = 141,913.26 × 70,601.64
  4. Step 4: Simplify right side
    102,881.76x = 10,019,308,893.75
  5. Step 5: Solve for x
    x = 10,019,308,893.75/102,881.76
  6. Step 6: Final answer
    x = 97,386.64

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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.