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Finding the Fourth Proportional to 153,477.78, 211,832.02 and 103,147.62

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Solution

The fourth proportional to 153,477.78, 211,832.02 and 103,147.62 is: 142,365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,477.78 : 211,832.02 = 103,147.62 : x
  2. Step 2: Convert to fraction form
    153,477.78/211,832.02 = 103,147.62/x
  3. Step 3: Cross multiply
    153,477.78x = 211,832.02 × 103,147.62
  4. Step 4: Simplify right side
    153,477.78x = 21,849,968,702.79
  5. Step 5: Solve for x
    x = 21,849,968,702.79/153,477.78
  6. Step 6: Final answer
    x = 142,365.68

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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.