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Finding the Fourth Proportional to 56,395.88, 77,823.16 and 30,897.44

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Solution

The fourth proportional to 56,395.88, 77,823.16 and 30,897.44 is: 42,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,395.88 : 77,823.16 = 30,897.44 : x
  2. Step 2: Convert to fraction form
    56,395.88/77,823.16 = 30,897.44/x
  3. Step 3: Cross multiply
    56,395.88x = 77,823.16 × 30,897.44
  4. Step 4: Simplify right side
    56,395.88x = 2,404,536,416.71
  5. Step 5: Solve for x
    x = 2,404,536,416.71/56,395.88
  6. Step 6: Final answer
    x = 42,636.74

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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.