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Finding the Fourth Proportional to 210,980.76, 291,153.54 and 115,488

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Solution

The fourth proportional to 210,980.76, 291,153.54 and 115,488 is: 159,373.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,980.76 : 291,153.54 = 115,488 : x
  2. Step 2: Convert to fraction form
    210,980.76/291,153.54 = 115,488/x
  3. Step 3: Cross multiply
    210,980.76x = 291,153.54 × 115,488
  4. Step 4: Simplify right side
    210,980.76x = 33,624,740,027.52
  5. Step 5: Solve for x
    x = 33,624,740,027.52/210,980.76
  6. Step 6: Final answer
    x = 159,373.49

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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.