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Finding the Fourth Proportional to 211,342, 291,681.80 and 130,795.48

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Solution

The fourth proportional to 211,342, 291,681.80 and 130,795.48 is: 180,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,342 : 291,681.80 = 130,795.48 : x
  2. Step 2: Convert to fraction form
    211,342/291,681.80 = 130,795.48/x
  3. Step 3: Cross multiply
    211,342x = 291,681.80 × 130,795.48
  4. Step 4: Simplify right side
    211,342x = 38,150,661,038.26
  5. Step 5: Solve for x
    x = 38,150,661,038.26/211,342
  6. Step 6: Final answer
    x = 180,516.23

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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.