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Finding the Fourth Proportional to 153,055.74, 211,215.54 and 85,070.97

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Solution

The fourth proportional to 153,055.74, 211,215.54 and 85,070.97 is: 117,397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,055.74 : 211,215.54 = 85,070.97 : x
  2. Step 2: Convert to fraction form
    153,055.74/211,215.54 = 85,070.97/x
  3. Step 3: Cross multiply
    153,055.74x = 211,215.54 × 85,070.97
  4. Step 4: Simplify right side
    153,055.74x = 17,968,310,866.87
  5. Step 5: Solve for x
    x = 17,968,310,866.87/153,055.74
  6. Step 6: Final answer
    x = 117,397.17

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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.