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Finding the Fourth Proportional to 105,200.90, 157,801.35 and 81,700.10

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Solution

The fourth proportional to 105,200.90, 157,801.35 and 81,700.10 is: 122,550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,200.90 : 157,801.35 = 81,700.10 : x
  2. Step 2: Convert to fraction form
    105,200.90/157,801.35 = 81,700.10/x
  3. Step 3: Cross multiply
    105,200.90x = 157,801.35 × 81,700.10
  4. Step 4: Simplify right side
    105,200.90x = 12,892,386,075.14
  5. Step 5: Solve for x
    x = 12,892,386,075.14/105,200.90
  6. Step 6: Final answer
    x = 122,550.15

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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.