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Finding the Fourth Proportional to 70,878.06, 97,810.50 and 39,049.92

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Solution

The fourth proportional to 70,878.06, 97,810.50 and 39,049.92 is: 53,888.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878.06 : 97,810.50 = 39,049.92 : x
  2. Step 2: Convert to fraction form
    70,878.06/97,810.50 = 39,049.92/x
  3. Step 3: Cross multiply
    70,878.06x = 97,810.50 × 39,049.92
  4. Step 4: Simplify right side
    70,878.06x = 3,819,492,200.16
  5. Step 5: Solve for x
    x = 3,819,492,200.16/70,878.06
  6. Step 6: Final answer
    x = 53,888.22

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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.