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Finding the Fourth Proportional to 153,090, 211,265.28 and 86,022

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Solution

The fourth proportional to 153,090, 211,265.28 and 86,022 is: 118,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,090 : 211,265.28 = 86,022 : x
  2. Step 2: Convert to fraction form
    153,090/211,265.28 = 86,022/x
  3. Step 3: Cross multiply
    153,090x = 211,265.28 × 86,022
  4. Step 4: Simplify right side
    153,090x = 18,173,461,916.16
  5. Step 5: Solve for x
    x = 18,173,461,916.16/153,090
  6. Step 6: Final answer
    x = 118,710.97

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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.