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Finding the Fourth Proportional to 153,415.95, 211,779.53 and 103,144.11

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Solution

The fourth proportional to 153,415.95, 211,779.53 and 103,144.11 is: 142,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,415.95 : 211,779.53 = 103,144.11 : x
  2. Step 2: Convert to fraction form
    153,415.95/211,779.53 = 103,144.11/x
  3. Step 3: Cross multiply
    153,415.95x = 211,779.53 × 103,144.11
  4. Step 4: Simplify right side
    153,415.95x = 21,843,811,138.07
  5. Step 5: Solve for x
    x = 21,843,811,138.07/153,415.95
  6. Step 6: Final answer
    x = 142,382.92

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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.