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Finding the Fourth Proportional to 65,110.05, 97,501.05 and 51,988.05

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Solution

The fourth proportional to 65,110.05, 97,501.05 and 51,988.05 is: 77,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,110.05 : 97,501.05 = 51,988.05 : x
  2. Step 2: Convert to fraction form
    65,110.05/97,501.05 = 51,988.05/x
  3. Step 3: Cross multiply
    65,110.05x = 97,501.05 × 51,988.05
  4. Step 4: Simplify right side
    65,110.05x = 5,068,889,462.45
  5. Step 5: Solve for x
    x = 5,068,889,462.45/65,110.05
  6. Step 6: Final answer
    x = 77,851.11

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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.