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Finding the Fourth Proportional to 260,075.80, 390,210.90 and 102,414.16

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Solution

The fourth proportional to 260,075.80, 390,210.90 and 102,414.16 is: 153,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,075.80 : 390,210.90 = 102,414.16 : x
  2. Step 2: Convert to fraction form
    260,075.80/390,210.90 = 102,414.16/x
  3. Step 3: Cross multiply
    260,075.80x = 390,210.90 × 102,414.16
  4. Step 4: Simplify right side
    260,075.80x = 39,963,121,546.34
  5. Step 5: Solve for x
    x = 39,963,121,546.34/260,075.80
  6. Step 6: Final answer
    x = 153,659.52

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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.