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Finding the Fourth Proportional to 210,746.76, 316,119.78 and 98,389.32

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Solution

The fourth proportional to 210,746.76, 316,119.78 and 98,389.32 is: 147,583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,746.76 : 316,119.78 = 98,389.32 : x
  2. Step 2: Convert to fraction form
    210,746.76/316,119.78 = 98,389.32/x
  3. Step 3: Cross multiply
    210,746.76x = 316,119.78 × 98,389.32
  4. Step 4: Simplify right side
    210,746.76x = 31,102,810,192.75
  5. Step 5: Solve for x
    x = 31,102,810,192.75/210,746.76
  6. Step 6: Final answer
    x = 147,583.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.