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Finding the Fourth Proportional to 106,911.88, 160,384.22 and 77,551.40

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Solution

The fourth proportional to 106,911.88, 160,384.22 and 77,551.40 is: 116,339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,911.88 : 160,384.22 = 77,551.40 : x
  2. Step 2: Convert to fraction form
    106,911.88/160,384.22 = 77,551.40/x
  3. Step 3: Cross multiply
    106,911.88x = 160,384.22 × 77,551.40
  4. Step 4: Simplify right side
    106,911.88x = 12,438,020,798.91
  5. Step 5: Solve for x
    x = 12,438,020,798.91/106,911.88
  6. Step 6: Final answer
    x = 116,339.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.