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Finding the Fourth Proportional to 190,875.89, 286,303.29 and 78,527.67

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Solution

The fourth proportional to 190,875.89, 286,303.29 and 78,527.67 is: 117,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,875.89 : 286,303.29 = 78,527.67 : x
  2. Step 2: Convert to fraction form
    190,875.89/286,303.29 = 78,527.67/x
  3. Step 3: Cross multiply
    190,875.89x = 286,303.29 × 78,527.67
  4. Step 4: Simplify right side
    190,875.89x = 22,482,730,277.03
  5. Step 5: Solve for x
    x = 22,482,730,277.03/190,875.89
  6. Step 6: Final answer
    x = 117,787.17

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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.