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Finding the Fourth Proportional to 202,018, 303,070.74 and 77,359

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Solution

The fourth proportional to 202,018, 303,070.74 and 77,359 is: 116,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,018 : 303,070.74 = 77,359 : x
  2. Step 2: Convert to fraction form
    202,018/303,070.74 = 77,359/x
  3. Step 3: Cross multiply
    202,018x = 303,070.74 × 77,359
  4. Step 4: Simplify right side
    202,018x = 23,445,249,375.66
  5. Step 5: Solve for x
    x = 23,445,249,375.66/202,018
  6. Step 6: Final answer
    x = 116,055.25

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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.