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Finding the Fourth Proportional to 261,714.80, 361,137.72 and 146,970.20

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Solution

The fourth proportional to 261,714.80, 361,137.72 and 146,970.20 is: 202,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,714.80 : 361,137.72 = 146,970.20 : x
  2. Step 2: Convert to fraction form
    261,714.80/361,137.72 = 146,970.20/x
  3. Step 3: Cross multiply
    261,714.80x = 361,137.72 × 146,970.20
  4. Step 4: Simplify right side
    261,714.80x = 53,076,482,935.94
  5. Step 5: Solve for x
    x = 53,076,482,935.94/261,714.80
  6. Step 6: Final answer
    x = 202,802.76

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1.5x scale

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.