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Finding the Fourth Proportional to 56,431.54, 77,698.20 and 47,915.74

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Solution

The fourth proportional to 56,431.54, 77,698.20 and 47,915.74 is: 65,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,431.54 : 77,698.20 = 47,915.74 : x
  2. Step 2: Convert to fraction form
    56,431.54/77,698.20 = 47,915.74/x
  3. Step 3: Cross multiply
    56,431.54x = 77,698.20 × 47,915.74
  4. Step 4: Simplify right side
    56,431.54x = 3,722,966,749.67
  5. Step 5: Solve for x
    x = 3,722,966,749.67/56,431.54
  6. Step 6: Final answer
    x = 65,973.16

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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.