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Finding the Fourth Proportional to 42,801.60, 64,207.20 and 13,219.20

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Solution

The fourth proportional to 42,801.60, 64,207.20 and 13,219.20 is: 19,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,801.60 : 64,207.20 = 13,219.20 : x
  2. Step 2: Convert to fraction form
    42,801.60/64,207.20 = 13,219.20/x
  3. Step 3: Cross multiply
    42,801.60x = 64,207.20 × 13,219.20
  4. Step 4: Simplify right side
    42,801.60x = 848,767,818.24
  5. Step 5: Solve for x
    x = 848,767,818.24/42,801.60
  6. Step 6: Final answer
    x = 19,830.28

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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.