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Finding the Fourth Proportional to 98,193.77, 147,290.78 and 31,643.81

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Solution

The fourth proportional to 98,193.77, 147,290.78 and 31,643.81 is: 47,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,193.77 : 147,290.78 = 31,643.81 : x
  2. Step 2: Convert to fraction form
    98,193.77/147,290.78 = 31,643.81/x
  3. Step 3: Cross multiply
    98,193.77x = 147,290.78 × 31,643.81
  4. Step 4: Simplify right side
    98,193.77x = 4,660,841,457.07
  5. Step 5: Solve for x
    x = 4,660,841,457.07/98,193.77
  6. Step 6: Final answer
    x = 47,465.76

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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.