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Finding the Fourth Proportional to 153,146.58, 211,282.47 and 112,956

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Solution

The fourth proportional to 153,146.58, 211,282.47 and 112,956 is: 155,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,146.58 : 211,282.47 = 112,956 : x
  2. Step 2: Convert to fraction form
    153,146.58/211,282.47 = 112,956/x
  3. Step 3: Cross multiply
    153,146.58x = 211,282.47 × 112,956
  4. Step 4: Simplify right side
    153,146.58x = 23,865,622,681.32
  5. Step 5: Solve for x
    x = 23,865,622,681.32/153,146.58
  6. Step 6: Final answer
    x = 155,835.17

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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.