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Finding the Fourth Proportional to 123,802.68, 185,689.62 and 40,697.40

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Solution

The fourth proportional to 123,802.68, 185,689.62 and 40,697.40 is: 61,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,802.68 : 185,689.62 = 40,697.40 : x
  2. Step 2: Convert to fraction form
    123,802.68/185,689.62 = 40,697.40/x
  3. Step 3: Cross multiply
    123,802.68x = 185,689.62 × 40,697.40
  4. Step 4: Simplify right side
    123,802.68x = 7,557,084,740.99
  5. Step 5: Solve for x
    x = 7,557,084,740.99/123,802.68
  6. Step 6: Final answer
    x = 61,041.37

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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.