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Finding the Fourth Proportional to 99,643.80, 149,465.70 and 83,897.40

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Solution

The fourth proportional to 99,643.80, 149,465.70 and 83,897.40 is: 125,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,643.80 : 149,465.70 = 83,897.40 : x
  2. Step 2: Convert to fraction form
    99,643.80/149,465.70 = 83,897.40/x
  3. Step 3: Cross multiply
    99,643.80x = 149,465.70 × 83,897.40
  4. Step 4: Simplify right side
    99,643.80x = 12,539,783,619.18
  5. Step 5: Solve for x
    x = 12,539,783,619.18/99,643.80
  6. Step 6: Final answer
    x = 125,846.10

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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.