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Finding the Fourth Proportional to 213,957, 295,259.54 and 117,159.10

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Solution

The fourth proportional to 213,957, 295,259.54 and 117,159.10 is: 161,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,957 : 295,259.54 = 117,159.10 : x
  2. Step 2: Convert to fraction form
    213,957/295,259.54 = 117,159.10/x
  3. Step 3: Cross multiply
    213,957x = 295,259.54 × 117,159.10
  4. Step 4: Simplify right side
    213,957x = 34,592,340,648.87
  5. Step 5: Solve for x
    x = 34,592,340,648.87/213,957
  6. Step 6: Final answer
    x = 161,678.94

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1.5x scale

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.