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Finding the Fourth Proportional to 56,904.80, 78,528.62 and 31,411.16

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Solution

The fourth proportional to 56,904.80, 78,528.62 and 31,411.16 is: 43,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,904.80 : 78,528.62 = 31,411.16 : x
  2. Step 2: Convert to fraction form
    56,904.80/78,528.62 = 31,411.16/x
  3. Step 3: Cross multiply
    56,904.80x = 78,528.62 × 31,411.16
  4. Step 4: Simplify right side
    56,904.80x = 2,466,675,047.40
  5. Step 5: Solve for x
    x = 2,466,675,047.40/56,904.80
  6. Step 6: Final answer
    x = 43,347.40

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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.