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Finding the Fourth Proportional to 210,159.95, 315,332.42 and 110,296.07

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Solution

The fourth proportional to 210,159.95, 315,332.42 and 110,296.07 is: 165,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,159.95 : 315,332.42 = 110,296.07 : x
  2. Step 2: Convert to fraction form
    210,159.95/315,332.42 = 110,296.07/x
  3. Step 3: Cross multiply
    210,159.95x = 315,332.42 × 110,296.07
  4. Step 4: Simplify right side
    210,159.95x = 34,779,924,541.45
  5. Step 5: Solve for x
    x = 34,779,924,541.45/210,159.95
  6. Step 6: Final answer
    x = 165,492.64

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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.