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Finding the Fourth Proportional to 162,042.80, 243,031.80 and 77,802.80

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Solution

The fourth proportional to 162,042.80, 243,031.80 and 77,802.80 is: 116,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,042.80 : 243,031.80 = 77,802.80 : x
  2. Step 2: Convert to fraction form
    162,042.80/243,031.80 = 77,802.80/x
  3. Step 3: Cross multiply
    162,042.80x = 243,031.80 × 77,802.80
  4. Step 4: Simplify right side
    162,042.80x = 18,908,554,529.04
  5. Step 5: Solve for x
    x = 18,908,554,529.04/162,042.80
  6. Step 6: Final answer
    x = 116,688.64

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1.5x scale

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.