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Finding the Fourth Proportional to 211,008.61, 291,197.01 and 115,515.01

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Solution

The fourth proportional to 211,008.61, 291,197.01 and 115,515.01 is: 159,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,008.61 : 291,197.01 = 115,515.01 : x
  2. Step 2: Convert to fraction form
    211,008.61/291,197.01 = 115,515.01/x
  3. Step 3: Cross multiply
    211,008.61x = 291,197.01 × 115,515.01
  4. Step 4: Simplify right side
    211,008.61x = 33,637,625,522.12
  5. Step 5: Solve for x
    x = 33,637,625,522.12/211,008.61
  6. Step 6: Final answer
    x = 159,413.52

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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.