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Finding the Fourth Proportional to 354,459.16, 531,688.74 and 105,139

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Solution

The fourth proportional to 354,459.16, 531,688.74 and 105,139 is: 157,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,459.16 : 531,688.74 = 105,139 : x
  2. Step 2: Convert to fraction form
    354,459.16/531,688.74 = 105,139/x
  3. Step 3: Cross multiply
    354,459.16x = 531,688.74 × 105,139
  4. Step 4: Simplify right side
    354,459.16x = 55,901,222,434.86
  5. Step 5: Solve for x
    x = 55,901,222,434.86/354,459.16
  6. Step 6: Final answer
    x = 157,708.50

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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.