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Finding the Fourth Proportional to 153,415, 211,715.94 and 86,347

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Solution

The fourth proportional to 153,415, 211,715.94 and 86,347 is: 119,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,415 : 211,715.94 = 86,347 : x
  2. Step 2: Convert to fraction form
    153,415/211,715.94 = 86,347/x
  3. Step 3: Cross multiply
    153,415x = 211,715.94 × 86,347
  4. Step 4: Simplify right side
    153,415x = 18,281,036,271.18
  5. Step 5: Solve for x
    x = 18,281,036,271.18/153,415
  6. Step 6: Final answer
    x = 119,160.68

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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.