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Finding the Fourth Proportional to 208,416, 287,612.40 and 112,922.40

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Solution

The fourth proportional to 208,416, 287,612.40 and 112,922.40 is: 155,832.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,416 : 287,612.40 = 112,922.40 : x
  2. Step 2: Convert to fraction form
    208,416/287,612.40 = 112,922.40/x
  3. Step 3: Cross multiply
    208,416x = 287,612.40 × 112,922.40
  4. Step 4: Simplify right side
    208,416x = 32,477,882,477.76
  5. Step 5: Solve for x
    x = 32,477,882,477.76/208,416
  6. Step 6: Final answer
    x = 155,832.00

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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.