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Finding the Fourth Proportional to 210,978.10, 291,138.51 and 115,466.32

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Solution

The fourth proportional to 210,978.10, 291,138.51 and 115,466.32 is: 159,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,978.10 : 291,138.51 = 115,466.32 : x
  2. Step 2: Convert to fraction form
    210,978.10/291,138.51 = 115,466.32/x
  3. Step 3: Cross multiply
    210,978.10x = 291,138.51 × 115,466.32
  4. Step 4: Simplify right side
    210,978.10x = 33,616,692,359.98
  5. Step 5: Solve for x
    x = 33,616,692,359.98/210,978.10
  6. Step 6: Final answer
    x = 159,337.35

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1.5x scale

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.