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Finding the Fourth Proportional to 218,774.95, 301,907.01 and 123,281.53

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Solution

The fourth proportional to 218,774.95, 301,907.01 and 123,281.53 is: 170,127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,774.95 : 301,907.01 = 123,281.53 : x
  2. Step 2: Convert to fraction form
    218,774.95/301,907.01 = 123,281.53/x
  3. Step 3: Cross multiply
    218,774.95x = 301,907.01 × 123,281.53
  4. Step 4: Simplify right side
    218,774.95x = 37,219,558,110.53
  5. Step 5: Solve for x
    x = 37,219,558,110.53/218,774.95
  6. Step 6: Final answer
    x = 170,127.15

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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.