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Finding the Fourth Proportional to 218,075.90, 300,946.40 and 121,281.10

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Solution

The fourth proportional to 218,075.90, 300,946.40 and 121,281.10 is: 167,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,075.90 : 300,946.40 = 121,281.10 : x
  2. Step 2: Convert to fraction form
    218,075.90/300,946.40 = 121,281.10/x
  3. Step 3: Cross multiply
    218,075.90x = 300,946.40 × 121,281.10
  4. Step 4: Simplify right side
    218,075.90x = 36,499,110,657.62
  5. Step 5: Solve for x
    x = 36,499,110,657.62/218,075.90
  6. Step 6: Final answer
    x = 167,368.84

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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.