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Finding the Fourth Proportional to 206,988.63, 310,482.95 and 64,835.12

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Solution

The fourth proportional to 206,988.63, 310,482.95 and 64,835.12 is: 97,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,988.63 : 310,482.95 = 64,835.12 : x
  2. Step 2: Convert to fraction form
    206,988.63/310,482.95 = 64,835.12/x
  3. Step 3: Cross multiply
    206,988.63x = 310,482.95 × 64,835.12
  4. Step 4: Simplify right side
    206,988.63x = 20,130,197,444.61
  5. Step 5: Solve for x
    x = 20,130,197,444.61/206,988.63
  6. Step 6: Final answer
    x = 97,252.67

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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.