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Finding the Fourth Proportional to 56,307.84, 77,701.60 and 31,155.84

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Solution

The fourth proportional to 56,307.84, 77,701.60 and 31,155.84 is: 42,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,307.84 : 77,701.60 = 31,155.84 : x
  2. Step 2: Convert to fraction form
    56,307.84/77,701.60 = 31,155.84/x
  3. Step 3: Cross multiply
    56,307.84x = 77,701.60 × 31,155.84
  4. Step 4: Simplify right side
    56,307.84x = 2,420,858,617.34
  5. Step 5: Solve for x
    x = 2,420,858,617.34/56,307.84
  6. Step 6: Final answer
    x = 42,993.28

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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.