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Finding the Fourth Proportional to 145,054, 217,914.54 and 103,036.24

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Solution

The fourth proportional to 145,054, 217,914.54 and 103,036.24 is: 154,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,054 : 217,914.54 = 103,036.24 : x
  2. Step 2: Convert to fraction form
    145,054/217,914.54 = 103,036.24/x
  3. Step 3: Cross multiply
    145,054x = 217,914.54 × 103,036.24
  4. Step 4: Simplify right side
    145,054x = 22,453,094,842.93
  5. Step 5: Solve for x
    x = 22,453,094,842.93/145,054
  6. Step 6: Final answer
    x = 154,791.28

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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.