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Finding the Fourth Proportional to 52,643.68, 72,639.12 and 31,421.68

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Solution

The fourth proportional to 52,643.68, 72,639.12 and 31,421.68 is: 43,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,643.68 : 72,639.12 = 31,421.68 : x
  2. Step 2: Convert to fraction form
    52,643.68/72,639.12 = 31,421.68/x
  3. Step 3: Cross multiply
    52,643.68x = 72,639.12 × 31,421.68
  4. Step 4: Simplify right side
    52,643.68x = 2,282,443,184.12
  5. Step 5: Solve for x
    x = 2,282,443,184.12/52,643.68
  6. Step 6: Final answer
    x = 43,356.45

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1.5x scale

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.