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Finding the Fourth Proportional to 77,899.59, 107,509.02 and 46,078.74

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Solution

The fourth proportional to 77,899.59, 107,509.02 and 46,078.74 is: 63,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,899.59 : 107,509.02 = 46,078.74 : x
  2. Step 2: Convert to fraction form
    77,899.59/107,509.02 = 46,078.74/x
  3. Step 3: Cross multiply
    77,899.59x = 107,509.02 × 46,078.74
  4. Step 4: Simplify right side
    77,899.59x = 4,953,880,266.63
  5. Step 5: Solve for x
    x = 4,953,880,266.63/77,899.59
  6. Step 6: Final answer
    x = 63,593.15

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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.