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Finding the Fourth Proportional to 208,059.20, 312,088.80 and 166,587.20

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Solution

The fourth proportional to 208,059.20, 312,088.80 and 166,587.20 is: 249,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,059.20 : 312,088.80 = 166,587.20 : x
  2. Step 2: Convert to fraction form
    208,059.20/312,088.80 = 166,587.20/x
  3. Step 3: Cross multiply
    208,059.20x = 312,088.80 × 166,587.20
  4. Step 4: Simplify right side
    208,059.20x = 51,989,999,343.36
  5. Step 5: Solve for x
    x = 51,989,999,343.36/208,059.20
  6. Step 6: Final answer
    x = 249,880.80

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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.