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Finding the Fourth Proportional to 35,854.40, 53,716.80 and 31,707.20

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Solution

The fourth proportional to 35,854.40, 53,716.80 and 31,707.20 is: 47,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,854.40 : 53,716.80 = 31,707.20 : x
  2. Step 2: Convert to fraction form
    35,854.40/53,716.80 = 31,707.20/x
  3. Step 3: Cross multiply
    35,854.40x = 53,716.80 × 31,707.20
  4. Step 4: Simplify right side
    35,854.40x = 1,703,209,320.96
  5. Step 5: Solve for x
    x = 1,703,209,320.96/35,854.40
  6. Step 6: Final answer
    x = 47,503.50

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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.