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Finding the Fourth Proportional to 56,308.84, 77,702.98 and 31,156.84

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Solution

The fourth proportional to 56,308.84, 77,702.98 and 31,156.84 is: 42,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,308.84 : 77,702.98 = 31,156.84 : x
  2. Step 2: Convert to fraction form
    56,308.84/77,702.98 = 31,156.84/x
  3. Step 3: Cross multiply
    56,308.84x = 77,702.98 × 31,156.84
  4. Step 4: Simplify right side
    56,308.84x = 2,420,979,315.38
  5. Step 5: Solve for x
    x = 2,420,979,315.38/56,308.84
  6. Step 6: Final answer
    x = 42,994.66

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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.