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Finding the Fourth Proportional to 155,259.40, 232,938.32 and 55,417.40

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Solution

The fourth proportional to 155,259.40, 232,938.32 and 55,417.40 is: 83,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,259.40 : 232,938.32 = 55,417.40 : x
  2. Step 2: Convert to fraction form
    155,259.40/232,938.32 = 55,417.40/x
  3. Step 3: Cross multiply
    155,259.40x = 232,938.32 × 55,417.40
  4. Step 4: Simplify right side
    155,259.40x = 12,908,836,054.77
  5. Step 5: Solve for x
    x = 12,908,836,054.77/155,259.40
  6. Step 6: Final answer
    x = 83,143.67

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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.